51269633210880 has 720 divisors, whose sum is σ = 207216305771904. Its totient is φ = 11681012367360.

The previous prime is 51269633210839. The next prime is 51269633210891. The reversal of 51269633210880 is 8801233696215.

51269633210880 is a `hidden beast` number, since 5 + 126 + 9 + 6 + 332 + 108 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 351033549 + ... + 351179571.

Almost surely, 2^{51269633210880} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51269633210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103608152885952).

51269633210880 is an abundant number, since it is smaller than the sum of its proper divisors (155946672561024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51269633210880 is a wasteful number, since it uses less digits than its factorization.

51269633210880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146377 (or 146351 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 51269633210880 in words is "fifty-one trillion, two hundred sixty-nine billion, six hundred thirty-three million, two hundred ten thousand, eight hundred eighty".